Track / Stage 4 / 107 of 340 #367 of 2000

Problem 367

AMC 12 late, AIME early

Number theory Difficulty 4.7 Find the answer

An integer is divided by 7 and the remainder is 4 . An example of such an integer is
(A) 14
(B) 15
(C) 16
(D) 17
(E) 18

Your answer

Official solution

An integer is divided by 7 and the remainder is 4 . An example of such an integer is
(A) 14
(B) 15
(C) 16
(D) 17
(E) 18

## Solution

Since 14 is a multiple of 7 , then 18 (which is 4 more than 14) gives a remainder of 4 when divided by 7 .

ANSwER: (E)

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.